OK, so let's give the casino a better chance. Each player starts with just $25, and has to flat-bet $25 over and over until they either bust or make 1000 bets.
Now the casino is bound to win, right?
Wrong:
player 1 bust after 1 bets
player 2 lost bet 1. balance = 0
player 2 bust after 1 bets
player 3 lost bet 1. balance = 0
player 3 bust after 1 bets
player 4 lost bet 1. balance = 0
player 4 bust after 1 bets
player 5 lost bet 1. balance = 0
player 5 bust after 1 bets
player 6 won bet 1. balance = 50
player 6 lost bet 2. balance = 25
player 6 lost bet 3. balance = 0
player 6 bust after 3 bets
player 7 won bet 1. balance = 50
player 7 lost bet 2. balance = 25
player 7 won bet 3. balance = 50
player 7 lost bet 4. balance = 25
player 7 won bet 5. balance = 50
player 7 won bet 6. balance = 75
player 7 lost bet 7. balance = 50
player 7 lost bet 8. balance = 25
player 7 lost bet 9. balance = 0
player 7 bust after 9 bets
player 8 lost bet 1. balance = 0
player 8 bust after 1 bets
player 9 won bet 1. balance = 50
player 9 won bet 2. balance = 75
player 9 won bet 3. balance = 100
player 9 won bet 4. balance = 125
player 9 lost bet 5. balance = 100
player 9 won bet 6. balance = 125
player 9 lost bet 7. balance = 100
player 9 won bet 8. balance = 125
player 9 won bet 9. balance = 150
player 9 won bet 10. balance = 175
player 9 lost bet 11. balance = 150
player 9 lost bet 12. balance = 125
player 9 lost bet 13. balance = 100
player 9 lost bet 14. balance = 75
player 9 lost bet 15. balance = 50
player 9 won bet 16. balance = 75
player 9 lost bet 17. balance = 50
player 9 lost bet 18. balance = 25
player 9 won bet 19. balance = 50
player 9 lost bet 20. balance = 25
player 9 lost bet 21. balance = 0
player 9 bust after 21 bets
player 10 lost bet 1. balance = 0
player 10 bust after 1 bets
player 11 won bet 1. balance = 50
player 11 lost bet 2. balance = 25
player 11 lost bet 3. balance = 0
player 11 bust after 3 bets
player 12 won bet 1. balance = 50
player 12 won bet 2. balance = 75
player 12 lost bet 3. balance = 50
player 12 lost bet 4. balance = 25
player 12 won bet 5. balance = 50
player 12 lost bet 6. balance = 25
player 12 lost bet 7. balance = 0
player 12 bust after 7 bets
player 13 lost bet 1. balance = 0
player 13 bust after 1 bets
player 14 won bet 1. balance = 50
player 14 lost bet 2. balance = 25
player 14 won bet 3. balance = 50
player 14 won bet 4. balance = 75
player 14 won bet 5. balance = 100
player 14 won bet 6. balance = 125
player 14 won bet 7. balance = 150
player 14 won bet 8. balance = 175
player 14 lost bet 9. balance = 150
player 14 won bet 10. balance = 175
[...]
player 14 won bet 224. balance = 125
player 14 lost bet 225. balance = 100
player 14 lost bet 226. balance = 75
player 14 won bet 227. balance = 100
player 14 won bet 228. balance = 125
player 14 lost bet 229. balance = 100
player 14 lost bet 230. balance = 75
player 14 lost bet 231. balance = 50
player 14 lost bet 232. balance = 25
player 14 lost bet 233. balance = 0
player 14 bust after 233 bets
player 15 won bet 1. balance = 50
player 15 won bet 2. balance = 75
player 15 won bet 3. balance = 100
player 15 lost bet 4. balance = 75
player 15 won bet 5. balance = 100
player 15 won bet 6. balance = 125
player 15 lost bet 7. balance = 100
player 15 won bet 8. balance = 125
player 15 won bet 9. balance = 150
player 15 lost bet 10. balance = 125
[...]
player 15 lost bet 991. balance = 850
player 15 lost bet 992. balance = 825
player 15 lost bet 993. balance = 800
player 15 won bet 994. balance = 825
player 15 won bet 995. balance = 850
player 15 won bet 996. balance = 875
player 15 won bet 997. balance = 900
player 15 lost bet 998. balance = 875
player 15 lost bet 999. balance = 850
player 15 lost bet 1000. balance = 825
player 15 made 1000 bets without busting